Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 490, Issue -, Pages 845-856Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2017.08.051
Keywords
Nonlinear noise; The fractional-order external damping; The fractional-order intrinsic damping; Stochastic resonance
Categories
Funding
- National Natural Science Foundation of P.R. China [11526172, 11501385, 11601450]
- Scientific Research Foundation of SWPU [2013XJZ027, 2013XJZ025, 2014XJZ015]
Ask authors/readers for more resources
We study stochastic resonance (SR) in an oscillator with nonlinear noise, fractional-order external damping, and fractional-order intrinsic damping. Using a moment equation, we derive the exact analytical expression of the output amplitude and find that fluctuations in the output amplitude are non-monotonic. Using numerical simulations we verify the accuracy of this analytical result. We find (i) that nonlinear noise plays a key role in system behavior and that the resonance of the output amplitude is diverse when there is nonlinear noise, (ii) that the order of the fractional-order damping strongly impacts resonant intensity and that the impact on resonant intensity of fractional-order external damping is opposite that of fractional-order intrinsic damping, and (iii) that the evolution of the output amplitude versus the frequency of the external periodic force exhibits three behaviors: a resonance with one peak, a resonance with one peak and one valley, and a resonance with one valley. C) 2017 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available